Greatest Common Factor of 5808/966, 9206/4874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5808/966, 9206/4874

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 5808/966,9206/4874

Given fractions are 5808/966,9206/4874

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5808,9206

Greatest Common Factor of Numerators i.e. GCF of 5808,9206 is 2 .

LCM of Denominators means LCM of 966,4874 as per the given fractions.

LCM of 966,4874 is 2354142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5808,9206

GCF of Fractions 5808/966,9206/4874 is 2/2354142

2 5808, 9206
2904, 4603

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 5808,9206 By Matching Biggest Common Factor Method

Greatest Common Factor of 5808,9206 By Matching Biggest Common Factor Method

Factors of 5808

List of positive integer factors of 5808 that divides 5808 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,121,132,176,242,264,363,484,528,726,968,1452,1936,2904,5808

Factors of 9206

List of positive integer factors of 9206 that divides 9206 without a remainder.

1,2,4603,9206

Greatest Common Factor

We found the factors 5808,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 5808,9206 is 2.

Lets's calculate LCM of 966,4874

2 966, 4874
483, 2437

∴ So the LCM of the given numbers is 2 x 483 x 2437 = 2354142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2354142

Therefore, the GCF of Fractions 5808/966,9206/4874 is 2/2354142

Least Common Multiple of 966,4874 with GCF Formula

Least Common Multiple of 966,4874 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 966,4874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,4874) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(966,4874) x common factors =2 x 1 = 2

LCM(966,4874) = ( 966 × 4874 ) / 2

LCM(966,4874) = 4708284 / 2

LCM(966,4874) = 2354142


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5808/966, 9206/4874

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 5808/966, 9206/4874?

Answer: GCF of Numerators as per given numbers 5808/966, 9206/4874 is

GCF of Numerators i.e. for 5808,9206 is 2

LCM of denominators i.e. for 966,4874 is 2354142.

Thus, GCF of Fractions is 2/2354142.Finally, GCF of Fractions for 5808/966, 9206/4874 is 2/2354142.